<TITLE>prob015: Schur's lemma</TITLE>
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<H1>prob015: Schur's lemma</H1>

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<TR> <TD> proposed by
     <TD ALIGN=LEFT> <A HREF="http://www.cs.york.ac.uk/~tw">
          <B>Toby Walsh</B></A> 
          <ADDRESS><a href="mailto:tw@cs.york.ac.uk">
          tw@cs.york.ac.uk</a></ADDRESS>
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<H3> References </H3>

Guy, R.&nbsp;K.  ``Schur's Problem.  Partitioning Integers into Sum-Free Classes'' and ``The Modular Version of
  Schur's Problem.''  &#167;E11 and E12 in 
  <a href="http://www.amazon.com/exec/obidos/ISBN=0387942890/ericstreasuretroA/"><I>Unsolved Problems in Number Theory, 2nd ed.</I></a>  New York: Springer-Verlag, pp.&nbsp;209-212, 1994.
<P>

Ramsey numbers are closely related, and are described in 
<A HREF="../prob017/">prob017</A>.

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